Scalarization for characterization of approximate strong/weak/proper efficiency in multi-objective optimization

被引：31
作者：
Ghaznavi-Ghosoni, B. A. [1 ]
Khorram, E. [1 ]
Soleimani-damaneh, M. [2 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran 15914, Iran
[2] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran
来源：
OPTIMIZATION | 2013年 / 62卷 / 06期
关键词：
multi-objective programming; E-(strong; weak; proper); efficiency; approximation methods; scalarization techniques; EPSILON-DUALITY THEOREM; VECTOR OPTIMIZATION; OPTIMALITY CONDITIONS; PROPER EFFICIENCY; RESPECT; SET;
D O I：
10.1080/02331934.2012.668190
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this article, approximate solutions of multi-objective optimization problems are analysed. The notion of approximate solution suggested by Kutateladze is dealt with, and, utilizing different scalarization approaches, some necessary and sufficient conditions for E-(strong, weak, proper) efficiency are provided. Almost all of the provided results are established without any convexity assumption.
引用
收藏
页码：703 / 720
页数：18
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